What is x when 53 divided by x equals 11?

To find the answer, just divide the dividend by the quotient: 53 ÷ 11 = 4.8181818181818

To prove this, let's compute 53 divided by 4.8181818181818: $\frac{53}{4.8181818181818} = 11$

How does it work?

Asking what the value of x could be when 53 divided by x gives a result of 11, is equivalent to solving the following equation:

$\frac{53}{x} = 11$

Multiply both sides by x: $\frac{53 x}{x} = 11 x$
$\frac{53 x}{x}$ is equivalent to $\frac{x}{x} \times 53$ , which simplifies to $1 \times 53$ (or just $53$ ).
Thus, the equation becomes: $53 = 11 x$
To find x, divide both sides by 11: $\frac{53}{11} = \frac{11 x}{11}$
Which gives, after simplification: $4.8181818181818 = x$ (or $x = 4.8181818181818$ )

So, if the dividend is 53 and the quotient is 11, the divisor is 4.8181818181818.